A research institute reports that 66% of workers reported that they and/or their spouse had saved some money for retirement. Complete parts a and b below. a. If a random sample of 40 workers is taken, what is the probability that fewer than 23 workers and/or their spouses have saved some money for retirement? The probability is .0981 . (Round to four decimal places as needed.) b. If a random sample of 60 workers is taken, what is the probability that more than 48 workers and/or their spouses have saved money for retirement? The probability is D. (Round to four decimal places as needed.) A survey looked at how long it takes a typical company to recoup an investment in research. The survey determined that 32% of the corporations took six months or less to recoup their investment. The data table below shows a sample of the time, in months, it might have taken 20 corporations to recoup their investment. Complete parts a through c. 8.5 5.5 7.0 7.5 9.0 8.0 7.5 10.0 9.0 8.0:}. 9.0 3.5 7.5 8.0 4.5 10.5 4.0 11.5 7.5 7.5 a. Determine the number of corporations that recovered their investement in research in six months or less. There were 4 corporations that recovered their investment in research in six months or less. b. Calculate the probability of obtaining at most the number of corporations that you determined in part a if the percent of those recovering their investment is as indicated by the survey. The probability is (Round to four decimal places as needed.)